Fun and Games in Geometry! (That you can do on a shoestring budget!)

2011 ESA Symposium

June 6-10, 2011

Cindy Kroon

[email protected]

Montrose High School

http://ck022.k12.sd.us

Montrose SD

Polygons with String To review names and properties of polygons 1. Divide students into groups of 4 or 5. 2. Give each group a 7-8 foot length of string, tied into a circle 3. Instruct the students to form each of the following polygons: Triangle Quadrilateral Pentagon Hexagon Decagon, etc. 4. Form each of the following quadrilaterals: Trapezoid Parallelogram Rhombus Kite Rectangle Quadrilateral with no right angle Quadrilateral with one pair of parallel sides, etc. 5. Form each of the following triangles: Equilateral Isosceles Right Acute scalene, etc. 6. Be sure to include some “impossible polygons” such as an obtuse right triangle, or a right equilateral triangle. Let the students decide through investigation whether they can be constructed.

Angles with Plates

1. Use two different colored plastic dessert plates for each unit. 2. Cut a slit from the edge to the center of each plate (along the radius). 3. Overlap the two plates at the slits. Voila! You can now form various angles by sliding the plates. 4. Have students demonstrate angles that you designate by making the appropriate adjustment to their plates: acute angle obtuse angle right angle straight angle 45 degree angle angle between 90 and 180 degrees 359 degree angle, etc. 5. Add a third plate (also slit along the radius) You can now form combination angle pairs: linear pair complementary angles supplementary angles

Geometry Pictionary (2 teams, 2-4 players per team) Use to review geometry terms and vocabulary. Object of the game: Be the first person to correctly identify a secret geometry symbol, term, or definition. 1. Each “drawer” tries to get his/her teammates to identify the secret geometry term or definition within a one minute time limit. 2. You may not use any symbols, letters, or numbers. 3. You may draw and gesture, no speaking. 4. The first team to correctly identify the term scores one point. 5. If neither team identifies the term before time expires, the drawers reveal it, then rotate drawers and continue with a different term. 6. In the case of a tie, a rematch is played with a new term. 7. The role of drawer rotates among team members after each term. Chapter 6 vocabulary for Pictionary: CPCTC

Perpendicular bisector

Legs of an isosceles triangle

Equidistant

Base angles of an isosceles

Distance

triangle

Alternate interior angles

Median of a triangle

Given

Congruent polygons

Hypotenuse

Isosceles triangle

Congruent triangles

Base of an isosceles triangle

SAS postulate

Vertex angle of an isosceles

AAS theorem

Triangle

LL theorem

Altitude of a triangle

Legs of a right triangle

Angle bisector

SSS postulate

Centroid

ASA theorem

Transversal

HL theorem

Proof

Congruent triangles

Construction

Circle Song (Are You Sleeping?) A equals Pi R2 Area, Area C equals Pi times diameter, Circumference, Circumference!

Slope Song (Turkey in the Straw) Slope is rise over run as we all know. With the Y’s on the top and the X’s below. Subtract the terms to get it right. Simplify last for a wonderful sight. (Chorus) Rise over run, Y’s over X. Rise over run, Y’s over X. Subtract the terms to get it right. Simplify last for a wonderful sight! (repeat)

Quadrilateral Dominoes 2-3 players: Reviews properties of quadrilaterals Object of the game: be the first to play all of your tiles. 1. Students shuffle dominoes face-down. 2. Each student draws 5 tiles. The remaining tiles form the “boneyard.” 3. Place one tile face-up on the table. 4. Player #1 plays a tile from his hand that matches either end of the face-up tile. If unable to play, he must draw one tile from the boneyard. If this tile is playable, he may play it. Otherwise play passes to the next player. 5. Play alternates until one player is out of tiles, or play is blocked.

Y= MX + B (YMCA) Students, we need to graph a straight line. I said, students, we will have a great time. I said, students there’s no reason to whine. There’s no need to be unhappy…

It’s fun to graph y = mx + b y = mx+ b It makes a straight line and it’ll be fine You can even find the slo-ope! (repeat)